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Finding the Fourth Proportional to 7,656, 10,562.57 and 5,004.94

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Solution

The fourth proportional to 7,656, 10,562.57 and 5,004.94 is: 6,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656 : 10,562.57 = 5,004.94 : x
  2. Step 2: Convert to fraction form
    7,656/10,562.57 = 5,004.94/x
  3. Step 3: Cross multiply
    7,656x = 10,562.57 × 5,004.94
  4. Step 4: Simplify right side
    7,656x = 52,865,029.10
  5. Step 5: Solve for x
    x = 52,865,029.10/7,656
  6. Step 6: Final answer
    x = 6,905.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.